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An application of the differential equations of the sound ray

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Part of the Lecture Notes in Mathematics book series (LNM,volume 679)

Abstract

Sound ranging of detonations or similar short sounds in the atmosphere may be done in a mathematically very simple manner if only sound rays travelling along the surface of the ground are considered. The evaluation of sound rays which are raised temporarily to higher layers of the atmosphere is rather complicated. The following exposition describes the difficulties and the attempts to deal with them.

Keywords

  • Variational Principle
  • Wave Front
  • Sound Source
  • Partial Water Vapour Pressure
  • Stratify Atmosphere

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Literature

  1. K. Nixdorff, Mathematische Methoden der Schallortung in der Atmosphäre, Braunschweig 1977

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  2. L.D. Landau and E.M. Lifschitz, Lehrbuch der theoretischen Physik, Bd. VI: Hydrodynamik, Berlin 1966

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  3. E. Esclangon, L’acoustique des canons et des projectiles, Mémorial de l’Artillerie Française, Paris 1925

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  4. R. Sänger, Artilleristische Schallmessung, Zürich 1938.

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© 1978 Springer-Verlag

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Nixdorff, K. (1978). An application of the differential equations of the sound ray. In: Ansorge, R., Törnig, W. (eds) Numerical Treatment of Differential Equations in Applications. Lecture Notes in Mathematics, vol 679. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067871

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  • DOI: https://doi.org/10.1007/BFb0067871

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08940-7

  • Online ISBN: 978-3-540-35715-5

  • eBook Packages: Springer Book Archive